Adaptive control and synchronization of a coupled dynamo system with uncertain parameters

This paper treats the adaptive control and synchronization of the coupled dynamo system with unknown parameters. Based on the Lyapunov stability technique, an adaptive control laws are derived such that the coupled dynamo system is asymptotically stable and the two identical dynamo systems are asymptotically synchronized. Also the update rules of the unknown parameters are derived. Finally, numerical simulation of the controlled and synchronized systems are presented.     

Facile synthesis of 3-substituted quinazoline-2,4-dione and 2,3-di-substituted quinazolinone derivatives

3-Substituted quinazoline-2,4(1H,3H)-dione and 2,3-di-substituted quinazolineone derivatives attract considerable interest due to their pharmacological properties. In this paper, we report the synthesis of N-substituted-3-nitrophthalimide derivatives II?CIII, the reactions of phthalimide III with amines, hydrazines, and amino acid derivatives to synthesise a small library of 3-substituted-5-nitroquinazoline-2,4(1H,3H)-diones IV?CXIV and 2,3-di-substituted-6-nitro-quinazolineones XVIII?CXIX.     

New control laws for stabilization of a rigid body motion using rotors system

This paper presents a new class of globally asymptotic stabilizing control laws for dynamics and kinematics attitude motion of a rotating rigid body. The rigid body motion is controlled with the help of a rotor system with internal friction. The Lyapunov technique is used to prove the global asymptotic properties of the stabilizing control laws. The obtained control laws are given as functions of the angular velocity, Cayley–Rodrigues and Modified-Rodrigues parameters. It is shown that linearity and nonlinearity of the control laws depend not only upon the Lyapunov function structure but also the rotors friction. Moreover, some of the results are compared with these obtained in the literature by other methods. Numerical simulation is introduced.     

The generalized Gompertz distribution

This paper deals with a new generalization of the exponential, Gompertz, and generalized exponential distributions. This distribution is called the generalized Gompertz distribution (GGD). The main advantage of this new distribution is that it has increasing or constant or decreasing or bathtub curve failure rate depending upon the shape parameter. This property makes GGD is very useful in survival analysis. Some statistical properties such as moments, mode, and quantiles are derived. The failure rate function is also derived. The maximum likelihood estimators of the parameters are derived using a simulations study. Real data set is used to determine whether the GGD is better than other well-known distributions in modeling lifetime data or not.     

Domino reactions between 3-(6-methylchromonyl)acrylonitrile and nucleophilic reagents

The chemical reactivity of electron deficient chromone–linked acrylonitrile [3-(6-methylchromonyl)acrylonitrile (1)] was studied towards some active methylene nitriles and active methylene ketones. Reaction of compound 1 with malononitrile, cyanoacetamide, ethyl cyanoacetate, malononitrile dimer and acetoacetanilide afforded 5-cyanomethylchromeno[4,3-b]pyridines 2–4 and 9. Compound 1 reacted with 1H-benzimidazol-2-ylacetonitrile producing pyrido[1,2-a]benzimidazole derivative 5. Benzonitrile derivatives 6–8 were efficiently synthesized from the reaction of compound 1 with acetylacetone, ethyl acetoacetate and diethylmalonate. In these reactions a diversity of products has been synthesized through a domino process, including Michael addition, retro-Michael with γ-pyrone ring opening followed by different types of recyclization (RORC). Structures of the new synthesized products were deduced on the basis of their analytical and spectral data, and the reaction mechanisms are discussed.     

Establishing causality with whitened cross-correlation analysis

In many biomedical applications, it is important to determine whether two recorded signals have a causal relationship and, if so, what the nature of that relationship is. Many advanced techniques have been proposed to characterize this relationship, but in practice simple techniques such as cross-correlation analysis are used. Unfortunately, the traditional cross-correlation analysis is influenced by the autocorrelation of the signals as much as it is by the relationship between the signals. Practically, this results in the cross correlation suggesting that the signals are correlated over a broad range of lags. Prewhitening the signals overcomes this limitation and reveals the essentially causal relationship between the signals. This is a simple method that can also easily generalize cross-correlation analysis to nonstationary signals, which are frequently encountered in biomedical applications. This technique has been used in other fields, but remains mostly undiscovered in biomedical research. In the case of a purely causal relationship, we show that whitened cross-correlation analysis is equivalent to directly estimating the all-pass component of the transfer function that relates the signals. We give examples of this type of analysis applied to several biomedical applications to demonstrate some of the new insights and information that can be produced by this type of analysis.     

On the nonlinear oscillations of a horizontally supported Jeffcott rotor with a nonlinear restoring force

This paper deals with the vibration analysis of a horizontally supported Jeffcott rotor system. Both nonlinear restoring force and the rotor weight are considered in the system modeling. The model shows a small difference between the natural frequencies of the vertical and horizontal mode. The multiple scales perturbation technique is utilized to obtain a second-order approximate solution at the simultaneous resonance case. The bifurcation analyses are conducted. The stability of the obtained solution is investigated by applying Lyapunov first method. The influences of all the parameters on the system behavior are explored. The Effect of both the negative and positive values of the nonlinear stiffness coefficient is studied. At the large rotor eccentricity, the analysis revealed the following: (1) the existence of three different stable solutions in an interval of the rotational speed. (2) The disk exposed to two consecutive jumps if its speed crossed the resonant speed. (3) For a soft spring, localized and nonlocalized oscillation in both the horizontal and vertical mode occurs. (4) For a hard spring, nonlocalized oscillation occurs in the two directions in addition to the localized motion in the vertical direction only (5) The system is very sensitive to initial conditions. Then, numerical simulations are performed to confirm the accuracy of the approximate results. It is found that the predictions from the analytical solutions are in a good agreement with the numerical simulations. Finally, a comparison with previously published work is included.     

The control of a permanent rotational motion and equilibrium position of a spacecraft

This article has adopted an analytical method to obtain a non-linear control law to reach the exponential asymptotic stablity of the permanent rotational motion of a spacecraft. The control moments achieving this rotational motion are obtained. The control moments to establish exponential asymptotic stablity of the mentioned motion are obtained as non-linear functions of the phase coordinates of the spacecraft. The general solution of the equations of perturbed motion is derived. Furthermore, analysis and numerical simulation study of this solution are presented. For numerical examples the time needed for control is calculated. An equilibrium position of the spacecraft is proved to be exponentially asymptotically stable as a special case of the above-studied problem.     

On the control of programmed motion of satellite-gyrostat containing fluid

This article is devoted to study the control of the relative programmed motion of satellite-gyrostat containing fluid with the help of internal moving bodies. Using the Lyapunov function the asymptotic stability of the relative programmed motion is proved. The control moments corresponding to the programmed motion are obtained. The control moments ensuring the asymptotic stability of this motion are obtained. The existence of the fluid is shown to give more freedom to the control. This study is characterized by the fact that the control forces are exactly as non-linear functions of phase coordinates.